文章基本信息

标题：Homomorphisms and derivations in C ∗ -ternary algebras via fixed point method
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作者：HM Kenari ; Reza Saadati ; Choonkil Park 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：137
DOI：10.1186/1687-1847-2012-137
语种：English
出版社：Hindawi Publishing Corporation
摘要：Park (J. Math. Phys. 47:103512, 2006) proved the Hyers-Ulam stability of homomorphisms in C ∗ -ternary algebras and of derivations on C ∗ -ternary algebras for the following generalized Cauchy-Jensen additive mapping: 2 f ( ∑ j = 1 p x j 2 + ∑ j = 1 d y j ) = ∑ j = 1 p f ( x j ) + 2 ∑ j = 1 d f ( y j ) . In this paper, we improve and generalize some results concerning this functional equation via the fixed-point method. MSC:39B52, 17A40, 46B03, 47Jxx.
关键词：C ∗ -ternary algebra isomorphism ; generalized Cauchy-Jensen functional equation ; Hyers-Ulam stability ; C ∗ -ternary derivation ; fixed-point method